She drove 585 miles
60 =1 hour
60*9=540
9*65=585
Answer:
x = 10
Step-by-step explanation:
Use the Pythagorean theorem. The sum of the square of the sides is the square of the hypotenuse.
x² +(√200)² = (√300)²
x² = 300 -200
x = √100 = 10
The length of the unknown side is 10 units.
Answer:
142
Step-by-step explanation:
Answer:
10it is 10
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let he speed of the boat on the lake is x.
<u>Considering the speed of the current it will take him:</u>
- 22.5/(x + 6) + 22.5/(x - 6) = 9
- 2.5 / (x + 6) + 2.5 / (x - 6) = 1
- 2.5(x - 6 + x + 6) = (x + 6)(x - 6)
- 2.5*2x = x² - 36
- x² - 5x - 36 = 0
- x = (5 ± √(5² + 4*36))/2 = (5 ± 13) / 2
- x = (5 + 13)/2 = 9 mph (negative root is discarded as the speed should be positive)
